This is an investigational study. Dasatinib is FDA approved and commercially available for the treatment of chronic myeloid leukemia. Bevacizumab is FDA approved and commercially available for the treatment of colorectal, breast, lung, and brain cancer. Paclitaxel is FDA approved and commercially available for the treatment of breast, lung, and ovarian cancer and Kaposi's sarcoma. Methylnaltrexone is FDA approved and commercially available for the treatment of constipation in patients with advanced illness who are receiving palliative care. The combination of these drugs when given to patients with advanced cancer is investigational.